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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2016 / Cilt: 45 - Sayı: 2

The Borel property for 4-dimensional matrices

Emre TAŞ
Sayfa
473–482
Yayın Tarihi
2022-10-18
DOI
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In this paper we investigate the Borel property for 4-dimensional matrices.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In 1909 Borel has proved that “Almost all of the sequences of 0’s and 1’s are Cesàro summable to 1 2 ".
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Temel Bulgular & Veri:Then Hill has generalized Borel’s result to two dimensional matrices.
💡
Sonuç & Katkı:In this paper we investigate the Borel property for 4-dimensional matrices.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Double sequences · Pringsheim convergence · the Borel Property

Abstract

In 1909 Borel has proved that “Almost all of the sequences of 0’s and 1’s are Cesàro summable to 1 2 ". Then Hill has generalized Borel’s result to two dimensional matrices. In this paper we investigate the Borel property for 4-dimensional matrices.

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Bu Makaleye Atıf Yap

TAŞ, E. (2022). The Borel property for 4-dimensional matrices. Hacettepe Journal of Mathematics and Statistics, Cilt: 45 - Sayı: 2, 473–482. https://ajindex.com/articles/530225

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Kaynakça (12)

  1. Borel E., Les probabilities denombrables et leurs applications arithmetiques, Rendiconti del Circolo Matematico di Palermo, 27, 247-271, 1909.
  2. Bromwich M.A., An introduction to the theory of infinite series, (Macmillan Co., London, 1942).
  3. Connor J., Almost none of the sequences of 0’s and 1’s are almost convergent, Internat. J. Math. Math. Sci. 13, 775-777, 1990.
  4. Crnjac M., Cunjalo F. and Miller H.I., ˘ Subsequence characterizations of statistical convergence of double sequences, Radovi Math., 12, 163-175, 2004.
  5. Garreau G.A., A note on the summation of sequences of 0’s and 1’s, Annals of Mathematics, 54, 183-185, 1951.
  6. Hill J.D., Summability of sequences of 0’s and 1’s, Annals of Mathematics, 46, 556-562, 1945.
  7. Hill J.D., The Borel property of summability methods, Pacific J. Math., 1, 399-409, 1951.
  8. Hill J.D., Remarks on the Borel property, Pacific J. Math., 4, 227-242, 1954. Móricz F. and Rhoades B.E., Almost convergence of double sequences and strong regularity of summability matrices, Math. Proc. Camb. Phil. Soc. 104, 283-294, 1988
  9. Parameswaran M.R., Note on the summability of sequences of zeros and ones, Proc. Nat. Inst. Sci. India Part A 27, 129-136, 1961.
  10. Pringsheim A., On the theory of double infinite sequences of numbers. (Zur theorie der zweifach unendlichen zahlenfolgen.), Math. Ann., 53, 289-321, 1900.
  11. Robison G.M., Divergent double sequences and series, Trans. Amer. Math. Soc. 28, 50-73, 1926.
  12. Tas E. and Orhan C., Cesàro means of subsequences of double sequences, submitted. 482 Visser C., The law of nought-or-one in the theory of probability, Studia Mathematica, 7, 143-149, 1938.